MathDB

4

Part of 1991 Dutch Mathematical Olympiad

Problems(1)

nice problem

Source: Netherlands 1991

6/28/2009
Three real numbers a,b,c a,b,c satisfy the equations a\plus{}b\plus{}c\equal{}3, a^2\plus{}b^2\plus{}c^2\equal{}9, a^3\plus{}b^3\plus{}c^3\equal{}24. Find a^4\plus{}b^4\plus{}c^4.
algebrapolynomialalgebra proposed